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11.1: Adding and Subtracting Polynomials

11.1: Adding and Subtracting Polynomials. Polynomials. multiple. A polynomial is an expression with _________ terms added or subtracted together. Therefore, how many terms do the following have?. 2xy 3. Monomial:. one. Binomial:. two. 3x + 4yz. Trinomial:. three. x 2 + 2x + 1.

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11.1: Adding and Subtracting Polynomials

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  1. 11.1: Adding and Subtracting Polynomials

  2. Polynomials multiple • A polynomial is an expression with _________ terms added or subtracted together. • Therefore, how many terms do the following have? 2xy3 Monomial: one Binomial: two 3x + 4yz Trinomial: three x2 + 2x + 1

  3. Other vocabulary: the number in front of a variable or term • Coefficient: • Constant: 5x3yz6 a single, stand-alone number (no variable) x2 -3x + 9

  4. Like terms • Like terms are terms that have exactly the same _________ and _________. • Examples: • Non-examples: • Always combine like terms! variables exponents 5x3yz6 and 67x3yz6 5x3yz6 and 67x6yz3

  5. Standard form • Written with the exponents in ___________________. • Example: • write as: decreasing order 6y – 13y3 + 2y2 -5 – 13y3 + 2y2 + 6y -5

  6. Simplify: When adding: Drop () and combine like terms!

  7. Simplify:

  8. When Subtracting: Distribute the negative, then combine like terms! Subtract 8m2 + m from 5m2 – 2m.

  9. Subtract 3s2 – 5s – 3froms2 +3s – 4

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